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Finding the Fourth Proportional to 565,766.98, 780,567.34 and 320,725.45

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Solution

The fourth proportional to 565,766.98, 780,567.34 and 320,725.45 is: 442,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,766.98 : 780,567.34 = 320,725.45 : x
  2. Step 2: Convert to fraction form
    565,766.98/780,567.34 = 320,725.45/x
  3. Step 3: Cross multiply
    565,766.98x = 780,567.34 × 320,725.45
  4. Step 4: Simplify right side
    565,766.98x = 250,347,809,773.18
  5. Step 5: Solve for x
    x = 250,347,809,773.18/565,766.98
  6. Step 6: Final answer
    x = 442,492.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.